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Finding the Fourth Proportional to 7.74, 11.54 and 7.30

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Solution

The fourth proportional to 7.74, 11.54 and 7.30 is: 10.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.74 : 11.54 = 7.30 : x
  2. Step 2: Convert to fraction form
    7.74/11.54 = 7.30/x
  3. Step 3: Cross multiply
    7.74x = 11.54 × 7.30
  4. Step 4: Simplify right side
    7.74x = 84.24
  5. Step 5: Solve for x
    x = 84.24/7.74
  6. Step 6: Final answer
    x = 10.88

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.